Homomorphism on a physical system of the Hodgkin-Huxley equations for ion conductance in nerve.

A homomorphism on a physical system of the Hodgkin-Huxley equations for ion conductance in nerve is derived. It is pointed out that a homomorphism can correct the Cole-Moore discrepancy in delay of conductance for voltage clamp data with initial hyperpolarization. The voltage dependence of the rate constants can also be removed. Curves are presented to compare the representation of the nerve conductances by the Hodgkin-Huxley equations and the new homomorphism.